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Finding the Third Proportional to 10.59 and 15.56

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Solution

The third proportional to 10.59 and 15.56 is: 22.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.59 : 15.56 = 15.56 : x
  2. Step 2: Convert to fraction form
    10.59/15.56 = 15.56/x
  3. Step 3: Cross multiply
    10.59x = 15.56 × 15.56
  4. Step 4: Simplify right side
    10.59x = 242.19
  5. Step 5: Solve for x
    x = 242.19/10.59
  6. Step 6: Final answer
    x = 22.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.